In [1]} it has been proven that there exists examples of
non uniqueness of \(l^2\)  solutions for the dyadic model if we consider
solutions of the form \(Y_n(t)=\dfrac{a_n}{t-t_0}\) , called self-similar
solutions, with \((a_n)_n\in l^2\) .
Thanks to the lifting result (Proposition 4.2 in [2]}) that is enough
to obtain two different solutions of the dyadic tree model, with the same
initial conditions.
